On an equilibrium finite element method for plate bending problems

DOI10.1007/BF02576705zbMath0456.73062WikidataQ56996798 ScholiaQ56996798MaRDI QIDQ1151091

Franco Brezzi, Alfio M. Quarteroni, Pierre-Arnaud Raviart, Luisa Donatella Marini

Publication date: 1980

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

thin elastic plateequilibrium finite element methodacted upon by a uniformly distributed loadclamped along its boundaryfourth order biharmonic equation

Mathematics Subject Classification ID

Newton-type methods (49M15) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem ⋮ The Hellan--Herrmann--Johnson Method with Curved Elements ⋮ The Lagrange multipliers in the equilibrium finite element method: Error estimates and postprocessing ⋮ On the implementation of an equilibrium finite element method for the numerical solution of plate bending problems

Cites Work

• Bounds for a class of linear functionals with applications to Hermite interpolation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
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